A Case Study of Applied Mathematics at Sandia National Laboratories: Design of Electromagnetic Reflectors with Integrated Shape Control
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Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
A series of Ti-rich Ni-Ti-Pt ternary alloys with 13 to 18 at. pct Pt were processed by vacuum arc melting and characterized for their transformation behavior to identify shape memory alloys (SMA) that undergo transformation between 448 K and 498 K (175 °C and 225 °C) and achieve recoverable strain exceeding 2 pct. From this broader set of compositions, three alloys containing 15.5 to 16.5 at. pct Pt exhibited transformation temperatures in the vicinity of 473 K (200 °C), thus were targeted for more detailed characterization. Preliminary microstructural evaluation of these three compositions revealed a martensitic microstructure with small amounts of Ti2(Ni,Pt) particles. Room temperature mechanical testing gave a response characteristic of martensitic de-twinning followed by a typical work-hardening behavior to failure. Elevated mechanical testing, performed while the materials were in the austenitic state, revealed yield stresses of approximately 500 MPa and 3.5 pct elongation to failure. Thermal strain recovery characteristics were more carefully investigated with unbiased incremental strain-temperature tests across the 1 to 5 pct strain range, as well as cyclic strain-temperature tests at 3 pct strain. The unbiased shape recovery results indicated a complicated strain recovery path, dependent on prestrain level, but overall acceptable SMA behavior within the targeted temperature and recoverable strain range.
2015 International 3D Systems Integration Conference, 3DIC 2015
The stress impact of the CMOS and III-V heterogeneous integration environment on device electrical performance is being characterized. Measurements from a partial heterogeneous integration fabrication run will be presented to provide insight into how the backside source vias, alternatively referred to as through-silicon-carbide vias (TSCVs), used within the heterogeneous integration environment impacts GaN HEMT device-level DC performance.
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Proceedings of SPIE - The International Society for Optical Engineering
Concentrating solar energy and transforming it into electricity is clean, economical and renewable. One design of solar power plants consists of an array of heliostats which redirects sunlight to a fixed receiver tower and the generated heat is converted into electricity. Currently, the angles of elevation of heliostats are controlled by motors and drives that are costly and require diverting power that can otherwise be used for producing electricity. We consider replacing the motor and drive system of the heliostat with a photosensitive polymer design that can tilt the mirror using the ability of the polymer to deform when subjected to light. The light causes the underlying molecular structure to change and subsequently, the polymer deforms. The deformation of the polymer is quantified in terms of photostrictive constitutive relations. A mathematical model is derived governing the behaviour of the angle of elevation as the photostrain varies. Photostrain depends on the composition of the polymer, intensity and temperature of light and angle of light polarization. Preliminary findings show a photomechanical rod structural design can provide 60° elevation for temperatures of about 40°C. A photomechanical beam structural design can generate more tilt at lower temperatures. The mathematical analysis illustrates that photostrains on the order of 1% to 10% are desired for both rod and beam designs to produce sufficient tilt under most heliostat field conditions. © 2014 SPIE.
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Proceedings - Electronic Components and Technology Conference
We have developed a complete process module for fabricating front end of line (FEOL) through silicon vias (TSVs). In this paper we describe the integration, which relies on using thermally deposited silicon as a sacrificial material to fill the TSV during FEOL processing, followed by its removal and replacement with tungsten after FEOL processing is complete. The uniqueness of this approach follows mainly from forming the TSVs early in the FEOL while still ultimately using metal as the via fill material. TSVs formed early in the FEOL can be formed at comparatively small diameter, high aspect ratio, and high spatial density. We have demonstrated FEOL-integrated TSVs that are 2 μm in diameter, over 45 μm deep, and on 20 μm pitch for a possible interconnect density of 250,000/cm2. Moreover, thermal oxidation of silicon can be used to form the dielectric isolation. Thermal oxidation is conformal and robust in the as-formed state. Finally, TSVs formed in the FEOL alleviate device design constraints common to vias-last integration. © 2009 IEEE.
Proceedings of the SEM Annual Conference and Exposition on Experimental and Applied Mechanics 2007
Contrary to popular opinion, fully resolved speckles may not be the best option for interferometric applications where it is often advantageous to have unresolved speckles with up to hundreds of speckles in a single camera pixel. This paper seeks to elucidate the effect of unresolved speckles on electronic speckle pattern interferometry (ESPI) and laser Doppler velocimetry (LDV). Related techniques such as temporal speckle pattern interferometry (TSPI) and ultrasonic imaging can also benefit from the ideas presented in this paper. Speckle statistics will be briefly outlined as background to the main topic of optimizing speckle fields for use in interferometry. The complementary speckle-size analysis for LDV is compared to previous published results on ESPI.
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The widefield laser Doppler velocimeter is a new measurement technique that significantly expands the functionality of a traditional scanning system. This new technique allows full-field velocity measurements without scanning, a drawback of traditional measurement techniques. This is particularly important for tests in which the sample is destroyed or the motion of the sample is non-repetitive. The goal of creating ''velocity movies'' was accomplished during the research, and this report describes the current functionality and operation of the system. The mathematical underpinnings and system setup are thoroughly described. Two prototype experiments are then presented to show the practical use of the current system. Details of the corresponding hardware used to collect the data and the associated software to analyze the data are presented.
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Journal of Microelectromechanical Systems
A soft-landing actuation waveform was designed to reduce the bounce of a single-pole single-throw (SPST) ohmic radio frequency (RF) microelectromechanical systems (MEMS) switch during actuation. The waveform consisted of an actuation voltage pulse, a coast time, and a hold voltage. The actuation voltage pulse had a short duration relative to the transition time of the switch and imparted the kinetic energy necessary to close the switch. After the actuation pulse was stopped, damping and restoring forces slowed the switch to near-zero velocity as it approached the closed position. This is referred to as the coast time. The hold voltage was applied upon reaching closure to keep the switch from opening. An ideal waveform would close the switch with near zero impact velocity. The switch dynamics resulting from an ideal waveform were modeled using finite element methods and measured using laser Doppler vibrometry. The ideal waveform closed the switch with an impact velocity of less than 3 cm/s without rebound. Variations in the soft-landing waveform closed the switch with impact velocities of 12.5 cm/s with rebound amplitudes ranging from 75 to 150 nm compared to impact velocities of 22.5 cm/s and rebound amplitudes of 150 to 200 nm for a step waveform. The ideal waveform closed the switch faster than a simple step voltage actuation because there was no rebound and it reduced the impact force imparted on the contacting surfaces upon closure. © 2006 IEEE.
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American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC
This paper outlines a model for a corner-supported, thin, rectangular bimorph actuated by a two-dimensional array of segmented, orthotropic PVDF laminates; it investigates the realization and measurement of such a bimorph. First, a model is derived to determine the deflected shape of an orthotropic laminate for a given distribution of voltages over the actuator array. Then, boundary conditions are realized in a laboratory setup to approach the theoretical corner-supported boundary condition. Finally, deflection measurements of actuated orthotropic PVDF laminates are performed with Electronic Speckle Pattern Interferometry and are compared to the model results. Copyright © 2005 by ASME.
Proposed for publication in the Journal of Microelectromechanical Systems.
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Proceedings of SPIE - The International Society for Optical Engineering
The shape control of thin, flexible structures has been studied primarily for edge-supported thin plates. For applications involving reconfigurable apertures such as membrane optics and active RF surfaces, corner-supported configurations may prove more applicable. Corner-supported adaptive structures allow for parabolic geometries, greater flexibility, and larger achievable deflections when compared to edge-supported geometries under similar actuation conditions. Preliminary models have been developed for corner-supported thin plates actuated by isotropic piezoelectric actuators. However, typical piezoelectric materials are known to be orthotropic. This paper extends a previously-developed isotropic model for a corner-supported, thin, rectangular bimorph to a more general orthotropic model for a bimorph actuated by a two-dimensional array of segmented PVDF laminates. First, a model determining the deflected shape of an orthotropic laminate for a given distribution of voltages over the actuator array is derived. Second, symmetric actuation of a bimorph consisting of orthotropic material is simulated using orthogonally-oriented laminae. Finally, the results of the model are shown to agree well with layered-shell finite element simulations for simple and complex voltage distributions.
This report summarizes research into effects of electron gun control on piezoelectric polyvinylidene fluoride (PVDF) structures. The experimental apparatus specific to the electron gun control of this structure is detailed, and the equipment developed for the remote examination of the bimorph surface profile is outlined. Experiments conducted to determine the optimum electron beam characteristics for control are summarized. Clearer boundaries on the bimorphs control output capabilities were determined, as was the closed loop response. Further controllability analysis of the bimorph is outlined, and the results are examined. In this research, the bimorph response was tested through a matrix of control inputs of varying current, frequency, and amplitude. Experiments also studied the response to electron gun actuation of piezoelectric bimorph thin film covered with multiple spatial regions of control. Parameter ranges that yielded predictable control under certain circumstances were determined. Research has shown that electron gun control can be used to make macrocontrol and nanocontrol adjustments for PVDF structures. The control response and hysteresis are more linear for a small range of energy levels. Current levels needed for optimum control are established, and the generalized controllability of a PVDF bimorph structure is shown.
American Society of Mechanical Engineers, Aerospace Division (Publication) AD
This paper describes an array of in-plane piezoelectric actuator segments laminated onto a comer-supported substrate to create a thin bimorph for reflector applications. An electric field distribution over the actuator segments causes the segments to expand or contract, thereby effecting plate deflection. To achieve a desired bimorph shape, the shape is first expressed as a two-dimensional series expansion. Then, using coefficients from the series expansion, an inverse problem is solved that determines the electric field distribution realizing the desired plate shape. A static example is presented where the desired deflection shape is a paraboloid. Copyright © 2004 by ASME.